Elastic Wannier-Stark Ladders and Bloch Oscillations in 1D Granular Crystals
arXiv:1711.00511 · doi:10.1063/1.5011664
Abstract
We report the numerical and experimental study of elastic Wannier-Stark Ladders and Bloch Oscillations in a tunable one-dimensional granular chain consisting of cylindrical particles. The Wannier-Stark Ladders are obtained by tuning the contact angles to introduce a gradient in the contact stiffness along the granular chain. These ladders manifest as resonant modes localized in the space. When excited at the corresponding resonant frequencies, we demonstrate the existence of time-resolved Bloch Oscillations. The direct velocity measurements using Laser Doppler Vibrometry agree well with the numerical simulation results. We also show the possibility of further tailoring these Bloch Oscillations by numerical simulations. Such tunable systems could be useful for applications involving the spatial localization of elastic energy.
Added more references. Updated numerical results
References in corpus (10)
- Localization of ultrasound in a three-dimensional elastic network
- Acoustic Analogue of Bloch Oscillations and Resonant Zener Tunneling in Ultrasonic Superlattices
- Highly Nonlinear Wave Propagation in Elastic Woodpile Periodic Structures
- Demonstrating an in-situ topological band transition in cylindrical granular chains
- Wave propagation in single column woodpile phononic crystals: Formation of tunable band gaps
- Wannier-Stark ladders in one-dimensional elastic systems
- Extreme control of impulse transmission by cylinder-based nonlinear phononic crystals
- Direct measurement of superdiffusive and subdiffusive energy transport in disordered granular chains
- Polydispersed Granular Chains: From Long-lived Chaotic Anderson-like Localization to Energy Equipartition
- Mechanical Rainbow Trapping and Bloch Oscillations in Structured Elastic Beams